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The obstacle problem of integro-partial differential equations with applications to stochastic optimal control/stopping problem

Journal of the Franklin Institute, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei Zhang, Bin Liu
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Initial value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1999
Under certain regularity conditions on the coefficients, it is shown that the initial-value problem \[ \begin{cases} u_{tt}-au_{xxt}-p(u_x)_x-\int_0^t\lambda(t-s)q(u_x)_x ds=f(x,t),\\ \left.u\right|_{t=0}=\varphi(x),\;\left.u_t\right|_{t=0}=\psi(x),\end{cases} \] where \(x\in{\mathbb R}\) and \(t>0\), has a global classical solution. The proof is based
openaire   +1 more source

Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations

Iranian Journal of Science and Technology, Transactions A: Science, 2018
We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations.
Nasibeh Mollahasani   +2 more
openaire   +1 more source

Integro-partial differential equation models for cell-cell adhesion and its application

2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations).
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Neural Network for Solving Integro Partial Differential Equation

2022 2nd International Conference on Computing and Machine Intelligence (ICMI), 2022
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A nonlinear fractional partial integro‐differential equation with nonlocal initial value conditions

Mathematical Methods in the Applied Sciences, 2023
Chenkuan Li   +2 more
exaly  

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